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relativity_13 - PHY2061 R D Field Electric Field Measured...

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PHY2061 R. D. Field Department of Physics relativity_13.doc University of Florida Electric Field Measured in Different Frames Transverse Components: Consider two ( large ) parallel sheets of opposite charge density at rest in the x'-z' plane O'-frame . In the O'-frame , E y ' = σ 0 / ε 0 . In the O-frame , E y = σ / ε 0 , but we know that 0 γσ σ = with 2 1 / 1 / β γ = = c V . Thus, y y E E = E E = = E E Parallel Component: Consider two ( large ) parallel sheets of opposite charge density at rest in the y'-z' plane O'-frame . In the O'-frame , E x ' = σ 0 / ε 0 . In the O-frame , E
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